2008 AMC 10A Problem 20

Trapezoid ABCD has bases \overline{AB} and \overline{CD} and diagonals intersecting at K. Suppose that AB = 9, DC = 12, and the area of \triangle AKD is 24. What is the area of trapezoid ABCD?

\mathrm{(A)}\ 92\qquad\mathrm{(B)}\ 94\qquad\mathrm{(C)}\ 96\qquad\mathrm{(D)}\ 98 \qquad\mathrm{(E)}\ 100

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.